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Finding the Fourth Proportional to 505.40, 696.78 and 427.64

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Solution

The fourth proportional to 505.40, 696.78 and 427.64 is: 589.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.40 : 696.78 = 427.64 : x
  2. Step 2: Convert to fraction form
    505.40/696.78 = 427.64/x
  3. Step 3: Cross multiply
    505.40x = 696.78 × 427.64
  4. Step 4: Simplify right side
    505.40x = 297,971.00
  5. Step 5: Solve for x
    x = 297,971.00/505.40
  6. Step 6: Final answer
    x = 589.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.